Well, it looks almost polished, at least in your pictures, except for the extrusion on the bottom.
Does it look almost identical on flip side Too big for a war axe, unless that's a miniature "no smoking sign, what- 16 or 18"s long?
I was once given a full groove axe by a high school acquaintance forty years ago. I was 17 years old (41 years ago) and working as a de- tasseling crew boss for a seed corn company. I found a nice 3/4 groove axe between the rows of eight foot high corn. I showed it to the kid on the bus as we were head back to town at the end of the day. The next day he brought to work the full groove axe, a side grooved axe, a nice Avon chert adze, and several bird points "and" he gave all of them to me! He said he and his father had found them.
The full groove axe was the strangest thing I'd ever seen at the time. On the bit side of the groove of the axe was almost perfectly round and came to a point. The pole end of the axe resembled the back part of a ball-peen hammer.
Here's a pretty close sketch (the lines are only for accentuating the curvature of the artifact), it was highly polished, and only showed some subtle polishing lines.
It was approximately 6-7"s long. Everyone I showed it to was both amazed and at the same time a bit skeptical of it being authentic, and reasonably so.
Later I took it out to Dickson Mounds Museum to see what Alan Harn had to say about it (he was the head Archeologist there at the time). He said he'd never any quite like it before. He then told me to wait a minute while he went to his study to get something. He came back with a picture of Sky Hawk, a Sioux
Warrior at the Battle of the Little Big Horn. He was holding a battle axe that round rather than flat. But it was pointed on both ends of the full groove...
Later on I got to know some nationality well known buyer-seller-collectors because I'd found a couple of very unique artifacts. Everyone of them were skeptical about that axe when I showed it to them.
Because so many informed people thought it was a fake, I decided that they were probably right.
Years later my oldest son caught a greased pig at the local County Fair and when it reached market weight, I needed to take it to the meat locker, but didn't have a pickup truck at the time. I knew my old arrowhead hunting buddy Bill P. had a pickup truck, but I hadn't been in contact with him for several years ( I'd gotten married, had kids, new responsibilities and less time to walk fields). I decided to give Bill a call to see if he'd be willing to transport the pig in his truck, and if so I'd give him the full groove axe which he was always very fond of ( at the time I was not employed " the socialists Jimmy Carter Years ), I couldn't afford to pay him, and didn't want to ask a favor for free, so I decided to barter.
Well, Looonng story short, Bill P. took the hog to the butcher and I gave him the axe. Recently the kid that gave me the axes and other artifacts moved into the little village where I live and I returned to him the artifacts he gave me, minus the round pointed axe. When I asked him about it, he told me, "HE WAS WITH HIS FATHER AND WATCHED HIM PICK IT UP IN THE FIELD!
And although I've never seen it myself, Alan Harn the head Archeologist at Dickson Mounds Museum (now retired) told me someone local brought in (on artifact identification day) an axe almost identical to the one I showed him decades prior. They found it while bulldozing ground for a pond.
Your piece is obviously not a full groove round axe, Mother Nature could have made it, but more pictures would be helpful to theorize about it being an artifact or not.